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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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If the length of the base of a rectangle is increased by 20 percent but the length of the altitude is decreased by 30 percent, by what percentage is the area changed? Is this an increase or a decrease in area?

To determine

The percentage of the area which is increased or decreased,

Explanation

Converting theoretical statement into mathematical statement and the calculation is followed by suitable geometric formulae.

Calculation:

Given,

Percentage of base increased of rectangle =20

Percentage of height decreased of the rectangle =30

Let b and h are the base and altitude of the rectangle.

Increased length of the base =b+20100(b)

=b+(0.2)b

=(1+0.2)b

base=1.2b

Increased length of the height =h30100(h)

=h0.3h

=(10.3)h

=(0.7)h

Height =0

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